345976016 has 40 divisors (see below), whose sum is σ = 707410080. Its totient is φ = 163465344.

The previous prime is 345976013. The next prime is 345976031. The reversal of 345976016 is 610679543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345976013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140750 + ... + 143186.

It is an arithmetic number, because the mean of its divisors is an integer number (17685252).

Almost surely, 2^345976016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345976016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353705040).

345976016 is an abundant number, since it is smaller than the sum of its proper divisors (361434064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345976016 is a wasteful number, since it uses less digits than its factorization.

345976016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 345976016 is about 18600.4305326517. The cubic root of 345976016 is about 702.0186735941.

The spelling of 345976016 in words is "three hundred forty-five million, nine hundred seventy-six thousand, sixteen".